This equation will change how you see the world (the logistic map)
The logistic map connects fluid convection, neuron firing, the Mandelbrot set and so much more. Fasthosts Techie Test competition is now closed! Learn more about Fasthosts here: www.fasthosts.co.uk/veritasium Code for interactives is available below...
Animations, coding, interactives in this video by Jonny Hyman 🙌
Try the code yourself: github.com/jonnyhyman/Chaos
References:
James Gleick, Chaos
Steven Strogatz, Nonlinear Dynamics and Chaos
May, R. Simple mathematical models with very complicated dynamics. Nature 261, 459-467 (1976). doi.org/10.1038/261459a0
Robert Shaw, The Dripping Faucet as a Model Chaotic System
archive.org/details/ShawRobertDrippingFaucetAsAModelChaoticSystem1984_201811/mode/2up
Crevier DW, Meister M. Synchronous period-doubling in flicker vision of salamander and man.
J Neurophysiol. 1998 Apr;79(4):1869-78.
Bing Jia, Huaguang Gu, Li Li, Xiaoyan Zhao. Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns Cogn Neurodyn (2012) 6:89-106 DOI 10.1007/s11571-011-9184-7
A Garfinkel, ML Spano, WL Ditto, JN Weiss. Controlling cardiac chaos
Science 28 Aug 1992: Vol. 257, Issue 5074, pp. 1230-1235 DOI: 10.1126/science.1519060
R. M. May, D. M. G. Wishart, J. Bray and R. L. Smith Chaos and the Dynamics of Biological Populations
Source: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 413, No. 1844, Dynamical Chaos (Sep. 8, 1987), pp. 27-44
Chialvo, D., Gilmour Jr, R. & Jalife, J. Low dimensional chaos in cardiac tissue. Nature 343, 653-657 (1990). doi.org/10.1038/343653a0
Xujun Ye, Kenshi Sakai. A new modified resource budget model for nonlinear dynamics in citrus production. Chaos, Solitons and Fractals 87 (2016) 51-60
Libchaber, A. & Laroche, C. & Fauve, Stephan. (1982). Period doubling cascade in mercury, a quantitative measurement. dx.doi.org/10.1051/jphyslet:01982004307021100. 43. 10.1051/jphyslet:01982004307021100.
Special thanks to Patreon Supporters:
Alfred Wallace, Arjun Chakroborty, Bryan Baker, DALE HORNE, Donal Botkin, halyoav, James Knight, Jasper Xin, Joar Wandborg, Lee Redden, Lyvann Ferrusca, Michael Krugman, Pindex, Ron Neal, Sam Lutfi, Tige Thorman, Vincent
Special thanks to:
Henry Reich for feedback on earlier versions of this video
Raquel Nuno for enduring many earlier iterations (including parts she filmed that were replaced)
Dianna Cowern for title suggestions and saying earlier versions weren't good
Heather Zinn Brooks for feedback on an earlier version.
Music from:
epidemicsound.com "What We Discovered" "A Sound Foundation 1" "Seaweed" "Colored Spirals 4"
ve42.co/Artlist "Busy World" "Children of Mystery"
Rodrigo Aguilera
Prieš val
hi, I had an idea, we can apply this method to the periodicity of PI, I remember that many mathematic are trying to find a patron, but if we can to model in 3D. (I’d like to think, numbers are tridimensional so we must view in this perspective the mathematic problem, I do not have the knowledge or the program to apply this but you do.
Jesus Reynoso
Prieš 6 val
Why if you have a bunch a gay rabbits?
Man of Morbihan
Prieš 7 val
I don't understand what he is saying but it sounds very interesting....
James Paddock
Prieš 15 val
0:00 *eating rabbit stew on a fractal*
Jeff M
Prieš dieną
Universal constants are defined in the simulation parameters.
Eric Newsom
Prieš dieną
This explains mosquitoes on the Texas gulf coast.
Cian Foley
Prieš dieną
Amazing videos.
Multi Da
Prieš dieną
Still want to return to monkey?
Sharim Almaas
Prieš dieną
Can anyone please tell me which app he is using to plot those beautiful graphs??🥺😭
iamdope
Prieš dieną
Which software he used to illustrate graph? Any idea?
FractAlkemist
Prieš dieną
Interesting how it can "predict" population flux - can this also apply to Covid, the multiple "waves" we get??
Johan Du Toit
Prieš 2 dienas
I need to get in contact with you. Got something pretty amazing to share. Thanks for this video!
Iván
Prieš 2 dienas
Now my mind has fallen into a fascinating chaos
Tom Russell
Prieš 2 dienas
kudos to you and your curiosity
Nenad ИС XC Shuput
Prieš 2 dienas
Not even this guy knows exactly what he is saying 🤣🤣
charlie3k
Prieš 2 dienas
i watched this high and i feel like my mind entered a new dimension
Fairyplay
Prieš 2 dienas
This video has become really relevant with covid lol (at least the R part at the beginning)
Ray Skudlark
Prieš 2 dienas
I find it odd that ever since I can remember I have been trying to figure out this pattern 2 4 8 16 32 64 128 256 512 1024 as high as I could reach. And now to be learning all of this much later in life it really makes you wonder!? Thanks for the content man I have been watching and learning with you for I think what 8 or 9 years now and you have been a constant reminder I'm not the only one kicking these ideas around. I have been poor my whole life and never had a chance to apply my brain the way I wanted to. And being in low income areas it hard to have these kind of conversations with anyone. So thanks for doing this man really you and Micheal Vsauce I only hope the best to you guys.
C Harris
Prieš 3 dienas
Finally the math that I already forgotten since high school looks interesting
Mathew Jackson
Prieš 3 dienas
So I'm on the toilet, when you push more, more flow will come out but not all at once and evenly, then eventually your muscles can't take the stress and less flow will come out. Then your muscles recharge and you go at it again maybe harder or softer... Equation works in everything
Omid Khoshravan Azar
Prieš 3 dienas
I don’t know why but this whole video felt like an unskippable ad
Maulau Craw
Prieš 3 dienas
Reverse this connection(selectablly applythe inverse function) and you have a fantastic modulus you can use to chart on an overlay the explicit proficiency to levels of implicit practicality of the teacher-student relevancy thereof.
bumfartbumfart2
Prieš 3 dienas
i hope you have won some awards for your films
The Zach
Prieš 3 dienas
I think this graph also represents the evolution of human intelligence. 👉Think about this: The same brain that created the theory of evolution had to first evolve itself.
Mahir Balushi
Prieš 3 dienas
Thanks
Daniel Edwards
Prieš 3 dienas
Whaaaaaaaaaaatttt
Brian Kleinschmidt
Prieš 3 dienas
I love watching Mandelbrot renderings. That graphic just blew my mind. Beauty has a measure - math itself.
Lion Deluxe
Prieš 3 dienas
This video made me obsessed. I didn’t sleep last night. This morning I went to my core editor and made a Mandelbrot’s Set visualizer and I watched this video for a second time. I now want to make a logistic map visualizer. Thank you Veritasium.
mt2mgames
Prieš 3 dienas
this video is horrible. You keep conflating "the population" with "the percentage of the maximum possible population"
Marre
Prieš 3 dienas
16:55 excited about chaos *HERESY* call the inquisiton
Ruderaksha Karwa
Prieš 3 dienas
Showerthought: every civilization follows the same pattern , I would say we crossed the curve somewhere between 70s-90s
Drawing Masterclass
Prieš 4 dienas
So much complexity and we still don't believe there is God.
Shawn Bechard
Prieš 4 dienas
I keep hearing predictions that human populations will decline, but I don't think it is going to be anywhere near as soon as they think. We have been rising since the Black Plague supposedly.
Nad G
Prieš 4 dienas
I LOVED this topic! It's insane! I knew that Mandelbrot set was pretty particular on its own but this! I want to know more
Ish Kabibble
Prieš 4 dienas
This is amazing! I'm familiar with the Mandelbrot set from decades ago, but is that 3D z-axis section a new discovery?
UhOhMeMeBiggestBoy
Prieš 4 dienas
Look at me just 16 and finding out about this instead of 32 welp anyway I have to go troubleshoot my brain
Xandea Galleta
Prieš 4 dienas
I hurt myself in confusion. :(
Dodd Rougeau
Prieš 4 dienas
Spherical trigonometry will prove the Earth is flat. You haven't got the balls to research that truth.
R Doody
Prieš 4 dienas
An application of math. Frustrating part of most math classes is the lack of application.
Leandro Placencia
Prieš 5 dienų
19:39 10^10^100 Googolplex
Leandro Placencia
Prieš 5 dienų
10^10^100 Googolplex
Rotciv Inoccic
Prieš 5 dienų
BANG! .. My brain feels much better...
Netemp Witemp
Prieš 5 dienų
It's the same about the human population. And it seems like we're at the peek right now and going down. That constant is like the pi of fractals
deck monkey
Prieš 5 dienų
School only teaches you the minimum you need to start the next grade. It doesn't teach you to think or be intelligent and never will. Look at how fast kids learn until they start school and then are held back from learning at the same pace by being forced to do it "the way I tell you".
Jason Brunhard
Prieš 5 dienų
I want to thank you for your channel honestly. I rarely ever leave comments, but I am so IMPRESSED AND APPRECIATIVE for your work. You are bringing science out to the public forum so we, as a population, can engage in science. Science needs funding. It is what it is, and the content you provide is structured in a way for the general public can understand the unique and awe-inspiring physics that this universe has. FROM MY HEART THANK YOU FOR DOING YOUR BEST TO HELP THE HUMAN RACE EVOLVE.
The Rodestarr
Prieš 5 dienų
Holy hell. If they me a little about chaos theory in school I swear I would have been a mathematician by now.
ich
Prieš 5 dienų
Which software did he use for plotting his graphs? 3:45
Naz Fride
Prieš 5 dienų
Amazing. Thenks for the outstanding explanation of a pretty complex subject (for lay people)!
Subhadeep Das
Prieš 5 dienų
If everyone will become vegetarian, there is no hunting or poaching and no disasters then we can find the date of extinction of a specific species 😯😯😯😯😯😯. This is mind blowing
oh no
Prieš 3 dienas
this has nothing to do with vegetarians??
Simranjeet Singh
Prieš 6 dienų
Your calculation is wrong
Ssenyonjo Jireh
Prieš 6 dienų
Can I still answer the question
Ssenyonjo Jireh
Prieš 6 dienų
Can I still answer the question
Chindulur Sai Kaushik
Prieš 6 dienų
out of all the possibilities z-axis was the least expected
Scripted Frames
Prieš 6 dienų
we need "chaos" in schools, not the other chaos 😅
Scripted Frames
Prieš 6 dienų
"Chaos"
Scripted Frames
Prieš 6 dienų
This video proved me that I am a dumb
Scripted Frames
Prieš 6 dienų
This video proved me that I am a dumb, I didn't even understand a bit as a 11th grades student
Leo Verran
Prieš 6 dienų
Rabbits times rabbits divided by coyotes plus hawks minus fox equals WTF are you talking about and who cares,...not even the rabbits care!
Karan Jassal
Prieš 6 dienų
This video was so enlightening! Thank you! I love how we can visually see the fractal from a simple equation, and this is exactly how I perceive the universe. "As above, so below"
twobad
Prieš 6 dienų
hod up, someone has to tell me the graphing app that he used
Miagi Fodder
Prieš 6 dienų
God man your 37 and only just found out about this. I'm 35 and just found out about it. Up your game dude
Xing Yu
Prieš 6 dienų
this vid has saved my essay project 😂i've been learning how to determine period doubling in the last couple of months. But i had little clue that so many real life phenomena exhibits the bifurcation doubling behaviour. Impressed!
FBI Agent
Prieš 6 dienų
I don’t get any of this but it sounds awesome
Iron work Paul
Prieš 6 dienų
The content is very good, a wonderful man with interesting knowledge
Fuzzy Ankles
Prieš 6 dienų
holy shiet thats beautiful
fffrikkie 123
Prieš 7 dienų
Life is a simulation confirmed
Ishita Vyavahare
Prieš 7 dienų
what software is he using?
Paolo Scaramuzzino
Prieš 7 dienų
how does it apply to the Covid-19 waves?
O_0
Prieš 7 dienų
Wait, so you're telling me that you could set equations on google's calculator this whole time? Amazing
Brian Kemery
Prieš 7 dienų
I've heard a ton about the Mandelbrot set over the years...but when he rotated it into 3 dimensions and it matched with the bifurcation diagram, my brain literally melted.
KG Guitar
Prieš 7 dienų
ROWAN???
Anthony Tran
Prieš 7 dienų
first 10 seconds and i went dumb
Simon Lovelace
Prieš 7 dienų
When the firing of Neurons in your brain and rabbits and Mandelbrot and Phi and oh my God it's everywhere
Juan David Barrada
Prieš 7 dienų
Amazing!!!
dolf1n1
Prieš 7 dienų
Wow I love the way you presented this topic so visually.
Rocket Zing
Prieš 7 dienų
Veritasium : video ratio movie producer : ''m i joke to you
ash channan
Prieš 8 dienų
how many leaves on a tree ? - search - LTwindow Golden ratio Mrityunjaya Fibonacci Number Praveen Mohan - I like his explanation
Milkymalk
Prieš 8 dienų
What if all these fundamental constants are such weird numbers (4.669, 3.1415..., and so on) because the computer universe.exe runs on uses something other than base 10?
adib z
Prieš 8 dienų
Everything is under control of God. Everything, under His calculation. Assalamualaikum
XRay Plays
Prieš 8 dienų
Huh
Phillip Plyer
Prieš 8 dienų
I'm just now fi ding your videos and its creating chaos in my marriage! I feel a couple bifurcation coming on. Any sugar mommas out there wanna help me get to 4.6669!? 😜 But in all seriousness, your videos are awesome!
steve
Prieš 8 dienų
I dont get it U just talk too much
Phineas
Prieš 8 dienų
I struggled to understand this just like many people. But look up Feigenbaum Number on Numberphile, it'll make this easier to understand slightly
John Worthington
Prieš 8 dienų
I just like the math... You'll die tomorrow, but the rabbits will forever live until.. Reality..
Mensa X
Prieš 8 dienų
All we have to do now is track and follow every bunny rabbit to see if this is true
rendzis
Prieš 8 dienų
In what day did god made this?😁
mazhar chrome
Prieš 9 dienų
Can you make a video about this equation with human population, where will be the equilibrium?
unityelt
Prieš 9 dienų
It's like programming life
Slow Motion
Prieš 9 dienų
OMG! I bet he was the most hated guy in school !
Pula Vijaya
Prieš 9 dienų
Is world an illusion make a video sir
Peacocks & Polar Bears
Prieš 9 dienų
This is insane. I've never seen something visualized like this.
korteks visceralzen
Prieš 9 dienų
Thanks. I love this channel. No one explains this stuff.
Betsy Larcom
Prieš 9 dienų
I was an ecology major in undergrad and everyone else thought we just went around hugging trees...
Bare Bear Hands
Prieš 9 dienų
Chaos is natural order.
Eric Swenson
Prieš 9 dienų
And no one thinks there is a creator that did all this by design? All these links and ratios no one can explain the existence of, and we think it all just came about by accident...
Rohit Neemwal
Prieš 9 dienų
so random numbers are not so random.
Rohit Neemwal
Prieš 9 dienų
universal constants are just some values given to simulator to simulate our universe.hece we are in simulator
Rohit Neemwal
Prieš 9 dienų
so , we are in simulation .
Steven
Prieš 9 dienų
The mandelbrook fractal looks lika a turtle:)
Vinyas Singh
Prieš 10 dienų
I guess the made up/unexplained answer of "42" we get to hear about has something to do with this universal constant of "4.669", I'm not sure though.